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Title: Creation of problem-dependent Doppler-broadened cross sections in the KENO Monte Carlo code

Abstract

In this paper, we introduce a quick method for improving the accuracy of Monte Carlo simulations by generating one- and two-dimensional cross sections at a user-defined temperature before performing transport calculations. A finite difference method is used to Doppler-broaden cross sections to the desired temperature, and unit-base interpolation is done to generate the probability distributions for double differential two-dimensional thermal moderator cross sections at any arbitrarily user-defined temperature. The accuracy of these methods is tested using a variety of contrived problems. In addition, various benchmarks at elevated temperatures are modeled, and results are compared with benchmark results. Lastly, the problem-dependent cross sections are observed to produce eigenvalue estimates that are closer to the benchmark results than those without the problem-dependent cross sections.

Authors:
 [1];  [1];  [2];  [1]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  2. Univ. of Tennessee, Knoxville, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1286860
Alternate Identifier(s):
OSTI ID: 1358752
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Annals of Nuclear Energy (Oxford)
Additional Journal Information:
Journal Volume: 88; Journal ID: ISSN 0306-4549
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 42 ENGINEERING; 99 GENERAL AND MISCELLANEOUS; Monte Carlo; Doppler broadening; Thermal scattering; KENO; SCALE

Citation Formats

Hart, Shane W. D., Celik, Cihangir, Maldonado, G. Ivan, and Leal, Luiz C. Creation of problem-dependent Doppler-broadened cross sections in the KENO Monte Carlo code. United States: N. p., 2015. Web. doi:10.1016/j.anucene.2015.10.011.
Hart, Shane W. D., Celik, Cihangir, Maldonado, G. Ivan, & Leal, Luiz C. Creation of problem-dependent Doppler-broadened cross sections in the KENO Monte Carlo code. United States. https://doi.org/10.1016/j.anucene.2015.10.011
Hart, Shane W. D., Celik, Cihangir, Maldonado, G. Ivan, and Leal, Luiz C. 2015. "Creation of problem-dependent Doppler-broadened cross sections in the KENO Monte Carlo code". United States. https://doi.org/10.1016/j.anucene.2015.10.011. https://www.osti.gov/servlets/purl/1286860.
@article{osti_1286860,
title = {Creation of problem-dependent Doppler-broadened cross sections in the KENO Monte Carlo code},
author = {Hart, Shane W. D. and Celik, Cihangir and Maldonado, G. Ivan and Leal, Luiz C.},
abstractNote = {In this paper, we introduce a quick method for improving the accuracy of Monte Carlo simulations by generating one- and two-dimensional cross sections at a user-defined temperature before performing transport calculations. A finite difference method is used to Doppler-broaden cross sections to the desired temperature, and unit-base interpolation is done to generate the probability distributions for double differential two-dimensional thermal moderator cross sections at any arbitrarily user-defined temperature. The accuracy of these methods is tested using a variety of contrived problems. In addition, various benchmarks at elevated temperatures are modeled, and results are compared with benchmark results. Lastly, the problem-dependent cross sections are observed to produce eigenvalue estimates that are closer to the benchmark results than those without the problem-dependent cross sections.},
doi = {10.1016/j.anucene.2015.10.011},
url = {https://www.osti.gov/biblio/1286860}, journal = {Annals of Nuclear Energy (Oxford)},
issn = {0306-4549},
number = ,
volume = 88,
place = {United States},
year = {Fri Nov 06 00:00:00 EST 2015},
month = {Fri Nov 06 00:00:00 EST 2015}
}

Journal Article:

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Cited by: 5 works
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